Last edited by Dojas
Thursday, April 30, 2020 | History

5 edition of Weighted Inequalities in Lorentz and Orlicz Spaces found in the catalog.

Weighted Inequalities in Lorentz and Orlicz Spaces

by Vakhtang Kokilashvili

  • 370 Want to read
  • 22 Currently reading

Published by World Scientific Pub Co Inc .
Written in English

    Subjects:
  • Complex analysis,
  • Real analysis,
  • Science/Mathematics,
  • Differential Equations,
  • Theory Of Operators

  • The Physical Object
    FormatHardcover
    Number of Pages200
    ID Numbers
    Open LibraryOL9518159M
    ISBN 109810206127
    ISBN 109789810206123

      Regularity estimates in weighted Orlicz spaces for Calderón–Zygmund type singular integral operators Free loop space homology of highly connected manifolds The Riesz potential in generalized Orlicz spacesAuthor: Fengping Yao. Western University [email protected] Digitized Theses Digitized Special Collections Hardy-type Inequalities On Weighted Orlicz Spaces Jim Qile Sun.   Funding Source: National Natural Science Foundation of China. Award identifier / Grant number: Award identifier / Grant number: Award identifier / Grant numberAuthor: Hongliang Li, Qinxiu Sun, Xiao Yu. Generated Weighted Inequalities in Lorentz and Orlicz Spaces in Random Book generator. one year ago. #miroslav #krbec #world #scientific #en #orlicz #spaces #vakhtang #mikha #weighted #inequalities #lovich #kokilashvili #lorentz. Generated To Float in the Space Between in Random Book .

    On the anisotropic Orlicz spaces applied in the problems of continuum mechanics. Discrete & Continuous Dynamical Systems - S, , 6 (5): Author: Fengping Yao. apply it to obtain norm inequalities for classicaloperatorsas well as an Olsen inequality in Musielak– Orlicz spaces. 1. Introduction There has been a considerable amount of studies on the variable exponent Lebes-gue spaces Lp(); see [5, 7] etc. for exhaustive account of this direction of research. p spaces. The aim of these notes is to present basic results about Orlicz spaces. I have tried to make the proofs as self-contained and synthetic as possible. I hope for the indulgence of the reader acquainted with Walter Rudin’s books, in particular with [4] where wonderful pages are written on the L p spaces which are renowned Orlicz spaces. Size: KB. Orlicz-Lorentz spaces | function spaces that provide a common generalization of Orlicz spaces and Lorentz spaces. Let us rst introduce the background to these spaces. The most well known examples of Banach spaces are the L p spaces. Their de nition is very well known. We will restrict ourselves to function spaces on [0;1) with Lebesgue Size: KB.

    in certain Lorentz-Zygmund spaces. Secondly, using the fundamental theorem of integration we obtain the weight functions in certain weighted Lebesgue spaces. As a consequence of our results, we obtain simple proofs for the embeddings of D2,2 0 (Ω) into certain Lorentz-Zygmund spaces proved by Hansson and later by Brezis and Wainger.   Sobolev’s Inequality for Riesz Potentials of Functions in Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces - Takao Ohno, Tetsu Shimomura Some norm inequalities in Musielak–Orlicz spaces. Ann. Acad. Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc. This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev-Besov and Triebel-Lizorkin type. Abstract. We establish a new characterization of the Musielak–Orlicz–Sobolev space on ℝ n; which includes the classical Orlicz–Sobolev space, the weighted Sobolev space, and the variable exponent Sobolev space as special cases, in terms of sharp ball averaging in a special case, namely, the variable exponent Sobolev space, the obtained result in this article improves the Cited by: 3.


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Weighted Inequalities in Lorentz and Orlicz Spaces by Vakhtang Kokilashvili Download PDF EPUB FB2

This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become Weighted Inequalities in Lorentz and Orlicz Spaces book of the mostdeveloped offshoots of the theory of the harmonic analysis by:   This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes.

During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. This is Weighted Inequalities in Lorentz and Orlicz Spaces book survey of recent results on weighted inequalities in Lorentz and Orlicz spaces and Zygmund classes - rapidly growing offshoots of the theory of harmonic analysis operators.

The volume brings together material scattered among journals, much of it previously only available in Russian. This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes.

During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book.

This Weighted Inequalities in Lorentz and Orlicz Spaces book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes.

During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. This book features original research and survey articles on the topics of function spaces and inequalities.

It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted).

System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours. For online purchase, please visit us again. This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) Author: Pankaj Jain.

[24] V. KOKILASHVILI ANDM. KRBEC, Weighted inequalities in Lorentz and Orlicz spaces, World Sci- entific, Singapore, [25] M. K RASNOSELSKII AND Y A.B.R UTICKII, Convex Functions and Orlicz Spaces, P.

NoordhoffCited by: 3. Vector-valued Maximal Inequalities on Weighted Orlicz-Morrey Spaces Article in Tokyo Journal of Mathematics 36(2) December with 46 Reads How we measure 'reads'.

Let Φ be a Young function and w be a weight. The weighted Orlicz space L w Φ is a natural generalization of the weighted Lebesgue space L w p (1 ≤ p ≤ ∞) and a characterization of an inclusion between weighted Lebesgue spaces is well known.

In this study, we will investigate the inclusions between weighted Orlicz spaces L w 1 Φ 1 and L w 2 Φ 2 with respect to Young functions Cited by: 5. Book. Jan ; Tero Kilpeläinen Weighted Inequalities in Lorentz and Orlicz Spaces. In this work we prove some sharp weighted inequalities on spaces of homogeneous type for the higher.

The necessary and sufficient conditions are derived in order that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal functions defined on homogeneous type spaces.

A weak type problem with weights is solved for vector-valued maximal by:   The main aim of this paper is to introduce and study some difference Orlicz-Garling sequence spaces and Orlicz-Lorentz sequence spaces.

Using the originally developed Orlicz-Lorentz sequence space, we show that the Orlicz-Garling sequence space admits a Cited by: 1.

The Fefferman-Stein vector-valued maximal inequalities are established for weighted Orlicz-Morrey spaces. As an application of these inequalities, a framework of weighted Triebel-Lizorkin-Orlicz-Morrey spaces is proposed.

M., Weighted Inequalities in Lorentz and Orlicz spaces, World Scientific (). Mathematical Reviews (MathSciNet Cited by: 6. Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities (book by M.J. Carro, J.A. Raposo and J. Soria) Febru March 20 Jan Vybíral (Charles University, Prague): Extrapolation theory for the real interpolation method (paper by María Carro) March 27 Lasha Ephremidze (Mathematical Institute AS CR, Prague).

We prove in this article the generalizations on the exponential Orlicz spaces Markov's - Bernstein's inequalities for algebraic polynomials and rational. This book is intended as a survey, (uncomplete as it may be) of weighted norm inequalities in Lorentz and Orlicz spaces and Zygmund classes, which have become one of the well developed offshoots of the theory during the last several years.

In particular, the local weighted gradient estimates in Orlicz spaces, which are capable of managing the gradient of solutions to, are derived from the interpolation property for weighted Orlicz spaces and the properties induced by the conditions imposed on the N-function, as explained in the proofs of [23, Theorem ] and [25, Theorem Cited by: 4.

Weak inequalities for maximal functions associated with {f ϵ (x)} ϵ, in Orlicz–Lorentz spaces, are proved.

As a consequence of these inequalities we obtain a generalization of Lebesgue’s Differentiation Theorem and the pointwise convergence of f ϵ (x) to f (x), as ϵ → by: 9. This pdf features original research and survey articles on the topics of function spaces and inequalities.

It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation.

Moreover, it.We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions. The download pdf will be wider than the class of all the N-functions. In particular, we consider the non-smooth atomic decomposition.

The relation between Orlicz-Hardy spaces and their duals is also studied. As an application, duality of Hardy spaces with variable exponents is by: Download This book features original research and survey articles on the topics of ebook spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation.